An analytical approximation technique for the duffing oscillator based on the energy balance method
In this paper, an analytical approximation technique has been presented of obtaining higher-order approximate solutions for highly nonlinear Duffing oscillator based on the energy balance method (EBM). Higher-order approximate natural frequencies have been obtained in a novel analytical way. The...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Forum Societa Editrice Universitaria Udinese srl
2017
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/60710/ http://irep.iium.edu.my/60710/ http://irep.iium.edu.my/60710/1/41-HosenChowdhuryAliIsmail.pdf http://irep.iium.edu.my/60710/12/60710_An%20analytical%20approximation%20technique_SCOPUS.pdf |
| Summary: | In this paper, an analytical approximation technique has been presented
of obtaining higher-order approximate solutions for highly nonlinear Duffing oscillator
based on the energy balance method (EBM). Higher-order approximate natural frequencies
have been obtained in a novel analytical way. The accuracy of the solution method
is evaluated within as error analysis. It is highly remarkable that using the presented
technique, the approximation solutions produces desired results even for large oscillation
as compared with the exact ones. Moreover, the solution method yields much better
results than existing solutions after using a suitable truncation formula. The presented
technique is applied to well-known Duffing oscillator to illustrate its novelty, reliability
and wider applicability |
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